Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in . Round your answer to the nearest tenth of a cubic inch. Answer Attempt 1 out of 2 Submit Answer

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To find the volume of a right circular cone, we can use the formula:

$$ V = \frac{1}{3} \pi r^2 h $$

where:
- $$ V $$ is the volume of the cone,
- $$ r $$ is the radius of the base of the cone,
- $$ h $$ is the height of the cone.

Given:
- Height of the cone, $$ h = 11.4 $$ inches,
- Radius of the base of the cone, $$ r = 5.1 $$ inches.

Substitute the given values into the formula:

$$ V = \frac{1}{3} \pi (5.1)^2 (11.4) $$

Now, we can calculate the volume of the cone.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1}{3}\pi \times 5.1^{2}\times 11.4$$
- step1: Convert the expressions:
  $$\frac{1}{3}\pi \left(\frac{51}{10}\right)^{2}\times 11.4$$
- step2: Multiply the terms:
  $$\frac{19}{5}\pi \left(\frac{51}{10}\right)^{2}$$
- step3: Multiply:
  $$\frac{19\pi }{5}\left(\frac{51}{10}\right)^{2}$$
- step4: Evaluate the power:
  $$\frac{19\pi }{5}\times \frac{51^{2}}{10^{2}}$$
- step5: Multiply the fractions:
  $$\frac{19\pi \times 51^{2}}{5\times 10^{2}}$$
- step6: Multiply:
  $$\frac{49419\pi }{500}$$
The volume of the right circular cone is approximately 310.508735 cubic inches.

Rounding to the nearest tenth of a cubic inch, the volume of the cone is approximately 310.5 cubic inches.
The volume of the cone is approximately 310.5 cubic inches.

Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in . Round your answer to the nearest tenth of a cubic inch. Answer Attempt 1 out of 2 Submit Answer

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